11363346072 has 192 divisors, whose sum is σ = 33880654080. Its totient is φ = 3419502336.

The previous prime is 11363346047. The next prime is 11363346073. The reversal of 11363346072 is 27064336311.

11363346072 is a `hidden beast` number, since 1 + 13 + 6 + 3 + 34 + 607 + 2 = 666.

11363346072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11363346073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8311933 + ... + 8313299.

It is an arithmetic number, because the mean of its divisors is an integer number (176461740).

Almost surely, 2^11363346072 is an apocalyptic number.

11363346072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11363346072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16940327040).

11363346072 is an abundant number, since it is smaller than the sum of its proper divisors (22517308008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11363346072 is a wasteful number, since it uses less digits than its factorization.

11363346072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 1575 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

It can be divided in two parts, 11363 and 346072, that added together give a triangular number (357435 = T₈₄₅).

The spelling of 11363346072 in words is "eleven billion, three hundred sixty-three million, three hundred forty-six thousand, seventy-two".